Better Striker: Boxer -or- MMA

I've always wondered this, lets say the same body type person, like same weight, same elusiveness, same reach, pretty much all the same features, but one trained MMA for (lets say years, like to professional) and one trained Boxing for the same amount of time, and they got in the ring and all that was allowed was strikes, no kicks no grappling (other than the minor boxing grapple), who would win in a straight boxing/striking fight?

Expose yourself to your deepest fear; after that, fear has no power, and the fear of freedom shrinks and vanishes. You are free.
-Jim Morrison

Lets be honest you want an MMA fighter to go into a boxing match. It just wont happen. We've seen the result of a boxer going into MMA and it just doesn't work. So in your scenario 99.9% of the time the boxer would win.